Ask question

Ask question

All categories

3 years ago

15

Sara selects two of the seven colors of the rainbow, one after another, with replacement. What is the probability that the first

color is red and the second is orange?
A. 1 /7

B. 1/ 21

C. 1 /49

D. 1 /14

1 answer:

Vesna [10]3 years ago

6 0

The two events are independent, because the selection of the first color (red) does not modifiy the probabilities of the second color (orange). Then the combined probability is the product of the two independent events:

1/7 * 1/7 = 1 / 49

Answer: option C. 1/49

You might be interested in

Find the perimeter of the polygon. Round your answer to the nearest tenth.

lakkis [162]

Answer:

Option B.

Step-by-step explanation:

From the given figure it clear that the the vertices of the polynomial are Q(2,0), R(4,5), S(8,7), T(6,4) and U(10,3).

Distance formula:

$d=\sqrt{(x-2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$QR=\sqrt{\left(4-2\right)^2+\left(5-0\right)^2}=\sqrt{29}$

$RS=\sqrt{\left(8-4\right)^2+\left(7-5\right)^2}=2\sqrt{5}$

$ST=\sqrt{\left(6-8\right)^2+\left(4-7\right)^2}=\sqrt{13}$

$TU=\sqrt{\left(10-6\right)^2+\left(3-4\right)^2}=\sqrt{17}$

$QU=\sqrt{\left(10-2\right)^2+\left(3-0\right)^2}=\sqrt{73}$

Now, the perimeter of the polynomial is

$Perimeter=QR+RS+ST+TU+QU$

$Perimeter=\sqrt{29}+2\sqrt{5}+\sqrt{13}+\sqrt{17}+\sqrt{73}$

$Perimeter=26.12996$

$Perimeter\approx 26.1$ units.

Therefore, the correct option is B.

7 0

4 years ago

Please help with step by step

gregori [183]

$f(x)=10e^{\frac{x-1}{2}}$

substitute f(x) for y
$y=10e^{\frac{x-1}{2}}$

solve for x

$\frac{y}{10}=e^{\frac{x-1}{2}}$

$ln( \frac{y}{10}) = \frac{x-1}{2}$

$2ln( \frac{y}{10})=x-1$

$2ln( \frac{y}{10})+1 =x$

$2ln( \frac{y}{10})$ is esquivent to $2ln(y) - 2ln(10)$

$2ln(y)-2ln(10)+1=x$

Change x to y and y to x

$2ln(x)-2ln(10)+1=y$

Flip formula and substitute y for g(x)

$g(x)=2ln(x)-2ln(10)+1$

7 0

3 years ago

What is the total price of a video game that costs $49.99 and the tax is 6%.

Leya [2.2K]

The answer is $52.98 because you divide the percent by 100 then multiply the total by .06 then add that to your total.

4 0

3 years ago

Read 2 more answers

All real numbers less than or equal to 9 and greater than or equal to 7 please hurry

VashaNatasha [74]

Answer:

$7 \leq x \leq 9$

Step-by-step explanation:

Let $x$ represent the real numbers.

For the first part, all real numbers less than or equal to 9 in algebra is $x \leq 9$ .

For the second part, all real numbers greater than or equal to 7 in algebra is $x \geq 7$ .

To combine both inequalities, it would become $7 \leq x \leq 9$ .

Hope this helped! If not, please let me know! <3

4 0

3 years ago

Read 2 more answers

INSTRUCTIONS<br> Solve the division problems<br> Name

skad [1K]

Answer:

13

Step-by-step explanation:

Do the divison! :D It's hard to write out on here, but you can find a lot of other online resources on how to do it, I reccomend Khan Academy.

5 0

3 years ago